Могу переписать с теми же фразами, как и из диалога. Просто глаза режет повторение глаголов :/

Amelia asked Jake if he is doing anything this weekend.

Jake answered in the negative, (he is not doing anything this week).

She wanted to get closer with him, so she invited Jake to the cinema.

However Jake doesn't like to go to the cinema and he thinks that he has nothing to see there. He suggested going somewhere else, like going to a concert to hear some live music.

Amelia asked if there was anything in town that has love music.

Jake agreed and told that there is one place called "the Oxygen Arena" and said that he is able to find the programme online.

Amelia wasn't sure, so she asked Jake about any good musicians.

Jake didn't know the town well, so he assumed that "Purple Dawn" band which plays hip hop will show up itself very good on a concert.

Amelia told Jake that she will ask James, because he is a guru in the world of hip hop.